[[Affine Transformations|Affine]] [[Image|Images]] of [[Lines]] and [[Planes]]. ### In [[Vector]] Form $\huge\begin{align*} l&: \vec x = \vec P + t\vec v \\ T(\vec x) &= A\vec x + \vec b \\ T(l) &= T(\vec P) + \pa{T(\vec v) - \vec b}t \\ &= A\vec P + \vec b + tA\vec v \\ \end{align*}$ *Similar for $\Rn2^+$